from matplotlib import pyplot as plt
from mpl_toolkits.mplot3d import Axes3D
import numpy as np

#定义图像和三维格式坐标轴
fig = plt.figure()  #定义新的三维坐标轴
ax1 = plt.axes(projection='3d')

xd = [[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
[0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625,0.015625],
[0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125,0.03125],
[0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875,0.046875],
[0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625,0.0625],
[0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125,0.078125],
[0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375,0.09375],
[0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375,0.109375],
[0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125,0.125],
[0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625,0.140625],
[0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625,0.15625],
[0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875,0.171875],
[0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875,0.1875],
[0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125,0.203125],
[0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875,0.21875],
[0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375,0.234375],
[0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25,0.25],
[0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625,0.265625],
[0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125,0.28125],
[0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875,0.296875],
[0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125,0.3125],
[0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125,0.328125],
[0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375,0.34375],
[0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375,0.359375],
[0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375,0.375],
[0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625,0.390625],
[0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625,0.40625],
[0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875,0.421875],
[0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375,0.4375],
[0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125,0.453125],
[0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875,0.46875],
[0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375,0.484375],
[0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5,0.5],
[0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625,0.515625],
[0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125,0.53125],
[0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875,0.546875],
[0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625,0.5625],
[0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125,0.578125],
[0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375,0.59375],
[0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375,0.609375],
[0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625,0.625],
[0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625,0.640625],
[0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625,0.65625],
[0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875,0.671875],
[0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875,0.6875],
[0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125,0.703125],
[0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875,0.71875],
[0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375,0.734375],
[0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75,0.75],
[0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625,0.765625],
[0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125,0.78125],
[0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875,0.796875],
[0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125,0.8125],
[0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125,0.828125],
[0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375,0.84375],
[0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375,0.859375],
[0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875,0.875],
[0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625,0.890625],
[0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625,0.90625],
[0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875,0.921875],
[0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375,0.9375],
[0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125,0.953125],
[0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875,0.96875],
[0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375,0.984375],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]]
yd = [[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1],
[0,0.015625,0.03125,0.046875,0.0625,0.078125,0.09375,0.109375,0.125,0.140625,0.15625,0.171875,0.1875,0.203125,0.21875,0.234375,0.25,0.265625,0.28125,0.296875,0.3125,0.328125,0.34375,0.359375,0.375,0.390625,0.40625,0.421875,0.4375,0.453125,0.46875,0.484375,0.5,0.515625,0.53125,0.546875,0.5625,0.578125,0.59375,0.609375,0.625,0.640625,0.65625,0.671875,0.6875,0.703125,0.71875,0.734375,0.75,0.765625,0.78125,0.796875,0.8125,0.828125,0.84375,0.859375,0.875,0.890625,0.90625,0.921875,0.9375,0.953125,0.96875,0.984375,1]]
 
zd = [[1,1.01575,1.03174,1.04797,1.06445,1.08117,1.09813,1.11534,1.13278,1.15046,1.16838,1.18653,1.20491,1.22352,1.24236,1.26142,1.2807,1.30019,1.3199,1.33982,1.35994,1.38026,1.40077,1.42147,1.44235,1.46341,1.48463,1.50602,1.52757,1.54926,1.57109,1.59306,1.61515,1.63735,1.65966,1.68206,1.70455,1.72712,1.74975,1.77244,1.79517,1.81793,1.84071,1.8635,1.88628,1.90905,1.93178,1.95448,1.97712,1.99968,2.02216,2.04455,2.06681,2.08896,2.11096,2.1328,2.15447,2.17595,2.19723,2.21829,2.23912,2.25969,2.28001,2.30004,2.31978],
[1.01575,1.03469,1.05338,1.07201,1.09066,1.10938,1.1282,1.14714,1.16622,1.18544,1.20481,1.22434,1.24402,1.26386,1.28386,1.30402,1.32433,1.34481,1.36544,1.38622,1.40716,1.42824,1.44946,1.47082,1.49232,1.51394,1.53569,1.55755,1.57952,1.60159,1.62376,1.64602,1.66836,1.69077,1.71324,1.73576,1.75833,1.78093,1.80356,1.8262,1.84884,1.87146,1.89407,1.91664,1.93917,1.96163,1.98402,2.00633,2.02853,2.05062,2.07258,2.0944,2.11605,2.13753,2.15881,2.17989,2.20073,2.22133,2.24166,2.2617,2.28142,2.3008,2.31979,2.33833,2.35631],
[1.03174,1.0534,1.07459,1.09551,1.11628,1.13697,1.15763,1.1783,1.199,1.21975,1.24057,1.26146,1.28244,1.30351,1.32467,1.34592,1.36728,1.38873,1.41029,1.43194,1.45369,1.47554,1.49748,1.51951,1.54162,1.56382,1.58609,1.60843,1.63084,1.6533,1.67582,1.69838,1.72098,1.74361,1.76626,1.78892,1.81158,1.83423,1.85687,1.87947,1.90204,1.92455,1.947,1.96938,1.99166,2.01385,2.03591,2.05785,2.07965,2.10129,2.12275,2.14402,2.16508,2.18592,2.20652,2.22685,2.2469,2.26665,2.28606,2.30511,2.32378,2.342,2.35974,2.37692,2.39341],
[1.04799,1.07206,1.09556,1.11865,1.14146,1.16406,1.18653,1.20889,1.2312,1.25346,1.27572,1.29797,1.32023,1.34252,1.36483,1.38719,1.40958,1.43201,1.45449,1.47701,1.49959,1.5222,1.54486,1.56756,1.5903,1.61307,1.63588,1.65871,1.68156,1.70443,1.7273,1.75018,1.77305,1.79591,1.81875,1.84156,1.86433,1.88705,1.90971,1.9323,1.95481,1.97722,1.99954,2.02174,2.0438,2.06573,2.08749,2.10909,2.1305,2.15171,2.17269,2.19345,2.21395,2.23418,2.25412,2.27374,2.29303,2.31195,2.33049,2.3486,2.36625,2.3834,2.39998,2.41591,2.43111],
[1.06449,1.09077,1.11641,1.14156,1.16632,1.19077,1.21498,1.23901,1.26289,1.28665,1.31032,1.33391,1.35745,1.38095,1.40441,1.42785,1.45128,1.47469,1.49809,1.52149,1.54488,1.56826,1.59164,1.61502,1.63839,1.66175,1.68509,1.70842,1.73172,1.755,1.77824,1.80145,1.8246,1.84771,1.87075,1.89372,1.91661,1.93941,1.96211,1.9847,2.00718,2.02952,2.05171,2.07375,2.09562,2.11731,2.13879,2.16007,2.18112,2.20192,2.22246,2.24273,2.26269,2.28234,2.30165,2.3206,2.33916,2.35731,2.37501,2.39223,2.40893,2.42506,2.44056,2.45537,2.46939],
[1.08126,1.10958,1.13723,1.16432,1.19094,1.21718,1.24309,1.26873,1.29415,1.31938,1.34444,1.36936,1.39416,1.41886,1.44346,1.46798,1.49243,1.51681,1.54113,1.5654,1.58961,1.61376,1.63787,1.66193,1.68593,1.70988,1.73377,1.75759,1.78136,1.80505,1.82867,1.85221,1.87567,1.89902,1.92228,1.94543,1.96845,1.99135,2.01411,2.03672,2.05918,2.08146,2.10356,2.12546,2.14715,2.16862,2.18985,2.21083,2.23154,2.25197,2.27209,2.29189,2.31135,2.33045,2.34917,2.36747,2.38535,2.40275,2.41967,2.43605,2.45186,2.46704,2.48155,2.49532,2.50828],
[1.09829,1.12853,1.15808,1.18701,1.21541,1.24336,1.27092,1.29813,1.32505,1.35171,1.37814,1.40436,1.43041,1.45629,1.48202,1.50761,1.53307,1.55842,1.58366,1.60879,1.63382,1.65875,1.68358,1.70831,1.73295,1.75749,1.78193,1.80627,1.8305,1.85462,1.87863,1.90251,1.92627,1.9499,1.97338,1.99672,2.0199,2.04291,2.06574,2.08839,2.11084,2.13308,2.1551,2.17689,2.19842,2.2197,2.2407,2.26141,2.28181,2.30188,2.32161,2.34098,2.35997,2.37855,2.3967,2.41441,2.43163,2.44834,2.46452,2.48011,2.49508,2.50939,2.52298,2.5358,2.54778],
[1.11558,1.14765,1.17899,1.20968,1.23978,1.26938,1.29852,1.32726,1.35564,1.3837,1.41147,1.43898,1.46624,1.49329,1.52013,1.54678,1.57326,1.59956,1.62571,1.6517,1.67754,1.70324,1.7288,1.75421,1.77949,1.80463,1.82962,1.85447,1.87918,1.90373,1.92814,1.95238,1.97645,2.00036,2.02408,2.04762,2.07096,2.0941,2.11703,2.13973,2.1622,2.18442,2.20638,2.22807,2.24947,2.27058,2.29137,2.31183,2.33194,2.35169,2.37106,2.39003,2.40857,2.42667,2.4443,2.46144,2.47805,2.49411,2.50959,2.52445,2.53865,2.55214,2.56488,2.57682,2.5879],
[1.13315,1.16696,1.20001,1.23237,1.26411,1.29529,1.32597,1.35618,1.38599,1.41541,1.44449,1.47325,1.50172,1.52991,1.55785,1.58555,1.61302,1.64027,1.66732,1.69417,1.72082,1.74729,1.77357,1.79966,1.82558,1.85132,1.87687,1.90224,1.92743,1.95242,1.97723,2.00183,2.02624,2.05043,2.07441,2.09817,2.12169,2.14497,2.168,2.19078,2.21328,2.23549,2.25742,2.27903,2.30033,2.32128,2.34189,2.36213,2.38198,2.40144,2.42047,2.43907,2.4572,2.47485,2.49199,2.5086,2.52465,2.5401,2.55494,2.56911,2.58259,2.59533,2.60728,2.61841,2.62865],
[1.15099,1.18646,1.22114,1.25511,1.28842,1.32113,1.35329,1.38494,1.41612,1.44688,1.47724,1.50723,1.53687,1.56619,1.59521,1.62394,1.65239,1.68059,1.70853,1.73622,1.76369,1.79092,1.81792,1.8447,1.87126,1.89759,1.92371,1.9496,1.97527,2.00072,2.02593,2.05091,2.07566,2.10015,2.12439,2.14838,2.1721,2.19554,2.21869,2.24155,2.2641,2.28634,2.30825,2.32981,2.35101,2.37185,2.39229,2.41234,2.43196,2.45115,2.46988,2.48813,2.50589,2.52312,2.53981,2.55593,2.57145,2.58634,2.60058,2.61412,2.62693,2.63897,2.6502,2.66057,2.67005],
[1.16912,1.20617,1.24243,1.27794,1.31276,1.34695,1.38053,1.41357,1.4461,1.47815,1.50976,1.54095,1.57174,1.60217,1.63225,1.662,1.69142,1.72054,1.74937,1.77791,1.80617,1.83416,1.86188,1.88934,1.91654,1.94348,1.97016,1.99659,2.02275,2.04865,2.07428,2.09964,2.12473,2.14954,2.17406,2.19829,2.22221,2.24583,2.26912,2.29209,2.31471,2.33698,2.35889,2.38042,2.40156,2.42229,2.4426,2.46248,2.4819,2.50085,2.5193,2.53725,2.55466,2.57151,2.58779,2.60346,2.61849,2.63287,2.64655,2.6595,2.6717,2.68309,2.69365,2.70333,2.71209],
[1.18753,1.22611,1.26388,1.30088,1.33716,1.37276,1.40773,1.44212,1.47595,1.50926,1.54208,1.57445,1.60638,1.63789,1.66901,1.69976,1.73014,1.76018,1.78988,1.81925,1.84831,1.87705,1.90549,1.93363,1.96147,1.98902,2.01626,2.04322,2.06988,2.09624,2.12229,2.14805,2.17349,2.19863,2.22344,2.24792,2.27206,2.29587,2.31932,2.34241,2.36512,2.38745,2.40938,2.4309,2.45199,2.47265,2.49285,2.51259,2.53183,2.55057,2.56878,2.58645,2.60355,2.62005,2.63595,2.65121,2.6658,2.6797,2.69287,2.70529,2.71691,2.72771,2.73766,2.7467,2.7548],
[1.20623,1.24629,1.28551,1.32394,1.36163,1.3986,1.43492,1.47061,1.5057,1.54024,1.57426,1.60777,1.6408,1.67338,1.70553,1.73725,1.76858,1.79952,1.83008,1.86028,1.89013,1.91962,1.94877,1.97759,2.00607,2.03422,2.06204,2.08952,2.11668,2.14351,2.17,2.19615,2.22197,2.24743,2.27254,2.29729,2.32168,2.34568,2.36931,2.39253,2.41535,2.43776,2.45973,2.48127,2.50234,2.52295,2.54307,2.56268,2.58178,2.60033,2.61833,2.63575,2.65257,2.66877,2.68433,2.69921,2.7134,2.72686,2.73957,2.75149,2.7626,2.77286,2.78223,2.79069,2.79818],
[1.22523,1.26671,1.30734,1.34715,1.38619,1.4245,1.46212,1.49907,1.5354,1.57113,1.6063,1.64093,1.67505,1.70867,1.74182,1.77451,1.80677,1.8386,1.87002,1.90103,1.93165,1.96189,1.99175,2.02124,2.05036,2.07911,2.1075,2.13553,2.16319,2.19049,2.21742,2.24398,2.27017,2.29598,2.3214,2.34644,2.37107,2.3953,2.41911,2.44249,2.46544,2.48794,2.50998,2.53155,2.55263,2.5732,2.59326,2.61279,2.63176,2.65017,2.66799,2.68519,2.70177,2.7177,2.73295,2.7475,2.76132,2.77439,2.78667,2.79815,2.80878,2.81854,2.82739,2.83531,2.84225],
[1.24452,1.28738,1.32937,1.37052,1.41088,1.45048,1.48935,1.52753,1.56506,1.60195,1.63825,1.67397,1.70915,1.74379,1.77792,1.81157,1.84473,1.87744,1.9097,1.94152,1.97292,2.00389,2.03446,2.06461,2.09437,2.12373,2.15269,2.18126,2.20943,2.23721,2.26458,2.29156,2.31813,2.3443,2.37004,2.39537,2.42027,2.44473,2.46875,2.4923,2.5154,2.53801,2.56014,2.58176,2.60287,2.62344,2.64347,2.66293,2.68182,2.7001,2.71777,2.73479,2.75116,2.76684,2.78183,2.79608,2.80957,2.82229,2.8342,2.84527,2.85547,2.86478,2.87316,2.88058,2.88701],
[1.26412,1.30831,1.35162,1.39407,1.4357,1.47654,1.51664,1.55602,1.5947,1.63273,1.67013,1.70692,1.74312,1.77876,1.81386,1.84844,1.8825,1.91607,1.94916,1.98178,2.01394,2.04564,2.07691,2.10773,2.13812,2.16809,2.19762,2.22673,2.25541,2.28367,2.3115,2.3389,2.36587,2.3924,2.41848,2.44412,2.46929,2.494,2.51824,2.54199,2.56525,2.588,2.61023,2.63193,2.65309,2.67369,2.69371,2.71314,2.73196,2.75015,2.76769,2.78457,2.80076,2.81624,2.83099,2.84498,2.85819,2.87059,2.88216,2.89287,2.90269,2.91159,2.91954,2.92651,2.93247],
[1.28403,1.32951,1.37409,1.4178,1.46066,1.50272,1.54401,1.58454,1.62436,1.66349,1.70196,1.73979,1.777,1.81362,1.84966,1.88515,1.92009,1.95451,1.98842,2.02182,2.05474,2.08717,2.11912,2.15061,2.18164,2.2122,2.24231,2.27197,2.30117,2.32991,2.3582,2.38603,2.4134,2.44031,2.46674,2.49269,2.51816,2.54313,2.56761,2.59157,2.61501,2.63792,2.66028,2.68208,2.70331,2.72396,2.744,2.76342,2.7822,2.80033,2.81778,2.83455,2.85059,2.8659,2.88045,2.89422,2.90718,2.91931,2.93059,2.94097,2.95045,2.95898,2.96654,2.97311,2.97865],
[1.30425,1.35099,1.39681,1.44173,1.4858,1.52903,1.57146,1.61313,1.65405,1.69425,1.73376,1.7726,1.8108,1.84837,1.88534,1.92172,1.95754,1.99279,2.0275,2.06168,2.09534,2.12849,2.16113,2.19328,2.22493,2.2561,2.28678,2.31699,2.3467,2.37594,2.4047,2.43297,2.46075,2.48804,2.51483,2.54111,2.56689,2.59214,2.61687,2.64106,2.6647,2.68779,2.7103,2.73222,2.75355,2.77427,2.79435,2.81379,2.83257,2.85067,2.86807,2.88474,2.90068,2.91585,2.93024,2.94383,2.95658,2.96847,2.97949,2.98959,2.99876,3.00697,3.01419,3.0204,3.02556],
[1.32478,1.37275,1.41976,1.46587,1.5111,1.55548,1.59903,1.64179,1.68378,1.72502,1.76555,1.80538,1.84454,1.88305,1.92092,1.95818,1.99484,2.03092,2.06642,2.10136,2.13576,2.16962,2.20294,2.23574,2.26803,2.2998,2.33105,2.3618,2.39204,2.42178,2.45101,2.47972,2.50792,2.5356,2.56276,2.5894,2.61549,2.64104,2.66604,2.69048,2.71434,2.73762,2.7603,2.78238,2.80383,2.82464,2.8448,2.86429,2.88309,2.90118,2.91855,2.93518,2.95104,2.96611,2.98037,2.99381,3.00638,3.01808,3.02888,3.03874,3.04765,3.05558,3.0625,3.06838,3.0732],
[1.34565,1.39479,1.44298,1.49024,1.53659,1.58208,1.62672,1.67054,1.71357,1.75583,1.79735,1.83815,1.87824,1.91766,1.95642,1.99454,2.03203,2.06891,2.1052,2.14089,2.17602,2.21058,2.24458,2.27803,2.31093,2.3433,2.37514,2.40644,2.4372,2.46744,2.49714,2.52631,2.55494,2.58303,2.61057,2.63756,2.66399,2.68985,2.71514,2.73984,2.76394,2.78744,2.81031,2.83256,2.85416,2.87509,2.89535,2.91491,2.93376,2.95188,2.96926,2.98586,3.00168,3.01669,3.03086,3.04418,3.05662,3.06816,3.07878,3.08844,3.09713,3.10482,3.11147,3.11708,3.1216],
[1.36684,1.41713,1.46645,1.51483,1.56228,1.60884,1.65454,1.69939,1.74343,1.78668,1.82917,1.87091,1.91192,1.95223,1.99186,2.03082,2.06913,2.1068,2.14385,2.18029,2.21613,2.25138,2.28605,2.32014,2.35367,2.38664,2.41904,2.4509,2.48219,2.51293,2.54312,2.57275,2.60181,2.63032,2.65825,2.68561,2.71239,2.73858,2.76417,2.78915,2.81352,2.83725,2.86034,2.88278,2.90455,2.92563,2.94601,2.96568,2.98461,3.00279,3.0202,3.03682,3.05263,3.0676,3.08172,3.09496,3.10731,3.11873,3.1292,3.13871,3.14721,3.15469,3.16113,3.16649,3.17076],
[1.38836,1.43978,1.4902,1.53966,1.58818,1.63578,1.6825,1.72837,1.77339,1.8176,1.86102,1.90368,1.94558,1.98677,2.02724,2.06702,2.10613,2.14458,2.18238,2.21955,2.2561,2.29203,2.32737,2.3621,2.39625,2.42981,2.46279,2.4952,2.52702,2.55827,2.58895,2.61904,2.64856,2.67749,2.70582,2.73357,2.76071,2.78724,2.81315,2.83843,2.86308,2.88707,2.9104,2.93305,2.95502,2.97627,2.99681,3.01661,3.03565,3.05392,3.07139,3.08806,3.10389,3.11887,3.13297,3.14617,3.15845,3.16979,3.18016,3.18954,3.19791,3.20523,3.21148,3.21664,3.22069],
[1.41023,1.46273,1.51422,1.56473,1.61428,1.66291,1.71063,1.75746,1.80344,1.84859,1.89292,1.93647,1.97925,2.02128,2.06258,2.10317,2.14306,2.18227,2.22081,2.2587,2.29595,2.33256,2.36855,2.40392,2.43868,2.47283,2.50639,2.53935,2.57171,2.60347,2.63464,2.66521,2.69518,2.72454,2.7533,2.78144,2.80896,2.83584,2.86209,2.8877,2.91264,2.93691,2.9605,2.98339,3.00558,3.02703,3.04775,3.06771,3.08689,3.10528,3.12285,3.13959,3.15548,3.1705,3.18462,3.19782,3.21007,3.22137,3.23168,3.24097,3.24923,3.25643,3.26254,3.26754,3.27141],
[1.43243,1.48599,1.53852,1.59006,1.64062,1.69023,1.73891,1.78669,1.8336,1.87966,1.92488,1.9693,2.01292,2.05578,2.09789,2.13926,2.17992,2.21988,2.25915,2.29775,2.33568,2.37296,2.4096,2.4456,2.48097,2.51572,2.54984,2.58336,2.61625,2.64853,2.6802,2.71125,2.74169,2.7715,2.80068,2.82923,2.85714,2.8844,2.91101,2.93694,2.96221,2.98678,3.01065,3.03381,3.05624,3.07792,3.09884,3.11899,3.13834,3.15688,3.17459,3.19144,3.20742,3.22251,3.23668,3.24991,3.26218,3.27347,3.28375,3.293,3.30119,3.30831,3.31432,3.3192,3.32293],
[1.45499,1.50958,1.56312,1.61564,1.66718,1.71774,1.76737,1.81607,1.86388,1.91082,1.95691,2.00217,2.04662,2.09028,2.13318,2.17532,2.21673,2.25742,2.29741,2.3367,2.37531,2.41325,2.45052,2.48715,2.52313,2.55846,2.59316,2.62723,2.66066,2.69347,2.72564,2.75718,2.78809,2.81835,2.84797,2.87695,2.90526,2.93292,2.95989,2.98619,3.01179,3.03669,3.06086,3.08431,3.10701,3.12894,3.1501,3.17047,3.19002,3.20874,3.22661,3.2436,3.25971,3.2749,3.28916,3.30247,3.31479,3.32611,3.3364,3.34564,3.35381,3.36088,3.36683,3.37163,3.37526],
[1.4779,1.53348,1.58801,1.64149,1.69397,1.74547,1.796,1.8456,1.89428,1.94208,1.989,2.03508,2.08034,2.12479,2.16845,2.21135,2.25349,2.2949,2.33558,2.37555,2.41483,2.45342,2.49133,2.52858,2.56516,2.60108,2.63635,2.67097,2.70495,2.73828,2.77096,2.803,2.83439,2.86512,2.89519,2.9246,2.95334,2.98139,3.00876,3.03543,3.0614,3.08664,3.11114,3.1349,3.15789,3.18011,3.20153,3.22214,3.24193,3.26086,3.27892,3.2961,3.31237,3.3277,3.34209,3.3555,3.36791,3.3793,3.38964,3.39892,3.4071,3.41416,3.42008,3.42484,3.42841],
[1.50118,1.55773,1.6132,1.66762,1.72101,1.7734,1.82482,1.87528,1.92481,1.97344,2.02118,2.06806,2.11409,2.15931,2.20372,2.24735,2.2902,2.33231,2.37368,2.41433,2.45426,2.49349,2.53203,2.56988,2.60706,2.64357,2.67941,2.71459,2.74911,2.78297,2.81617,2.84871,2.88059,2.9118,2.94233,2.97219,3.00136,3.02984,3.05762,3.08469,3.11103,3.13663,3.16149,3.18559,3.2089,3.23143,3.25314,3.27403,3.29407,3.31325,3.33154,3.34893,3.36539,3.38091,3.39545,3.40901,3.42154,3.43304,3.44348,3.45282,3.46106,3.46816,3.4741,3.47885,3.4824],
[1.52482,1.5823,1.63869,1.69402,1.7483,1.80156,1.85383,1.90513,1.95548,2.00491,2.05344,2.10109,2.14788,2.19384,2.23898,2.28332,2.32688,2.36967,2.41171,2.45301,2.49359,2.53345,2.57261,2.61107,2.64885,2.68594,2.72235,2.75809,2.79315,2.82755,2.86127,2.89432,2.92669,2.95839,2.9894,3.01972,3.04934,3.07826,3.10647,3.13395,3.16069,3.18668,3.21192,3.23638,3.26004,3.2829,3.30494,3.32613,3.34647,3.36592,3.38448,3.40211,3.4188,3.43453,3.44928,3.46301,3.47571,3.48736,3.49792,3.50738,3.51571,3.52289,3.52888,3.53367,3.53724],
[1.54883,1.60722,1.6645,1.7207,1.77584,1.82994,1.88303,1.93514,1.98628,2.03649,2.08578,2.13418,2.18171,2.22839,2.27423,2.31927,2.36351,2.40697,2.44967,2.49162,2.53283,2.57331,2.61308,2.65215,2.69051,2.72818,2.76516,2.80146,2.83707,2.872,2.90625,2.93982,2.9727,3.00489,3.03639,3.06719,3.09728,3.12665,3.1553,3.18322,3.21038,3.23679,3.26242,3.28727,3.31131,3.33453,3.35692,3.37845,3.39911,3.41888,3.43773,3.45564,3.4726,3.48859,3.50357,3.51752,3.53042,3.54226,3.55299,3.5626,3.57107,3.57836,3.58445,3.58932,3.59294],
[1.57322,1.63249,1.69063,1.74767,1.80363,1.85855,1.91243,1.96532,2.01723,2.06818,2.11821,2.16734,2.21558,2.26295,2.30949,2.3552,2.4001,2.44421,2.48756,2.53014,2.57197,2.61307,2.65344,2.6931,2.73205,2.77029,2.80784,2.8447,2.88086,2.91633,2.95112,2.98521,3.01861,3.05131,3.08331,3.1146,3.14517,3.17502,3.20413,3.2325,3.26011,3.28695,3.31301,3.33827,3.36271,3.38633,3.40909,3.43099,3.45201,3.47212,3.4913,3.50953,3.5268,3.54307,3.55832,3.57254,3.58568,3.59774,3.60869,3.61849,3.62713,3.63458,3.64081,3.6458,3.64952],
[1.598,1.65811,1.71708,1.77493,1.83169,1.88738,1.94203,1.99567,2.04831,2.09999,2.15073,2.20056,2.24948,2.29753,2.34473,2.3911,2.43665,2.4814,2.52537,2.56857,2.61101,2.65271,2.69368,2.73393,2.77345,2.81227,2.85039,2.8878,2.92452,2.96054,2.99587,3.03049,3.06442,3.09764,3.13015,3.16194,3.19301,3.22335,3.25294,3.28178,3.30986,3.33716,3.36367,3.38937,3.41425,3.43828,3.46146,3.48376,3.50517,3.52565,3.5452,3.56379,3.58139,3.59799,3.61356,3.62807,3.6415,3.65383,3.66502,3.67506,3.68392,3.69157,3.69798,3.70313,3.70699],
[1.62316,1.68409,1.74386,1.80249,1.86001,1.91645,1.97184,2.02619,2.07955,2.13192,2.18334,2.23384,2.28343,2.33213,2.37997,2.42697,2.47315,2.51852,2.5631,2.60691,2.64995,2.69224,2.7338,2.77462,2.81473,2.85412,2.8928,2.93078,2.96805,3.00462,3.04049,3.07565,3.11011,3.14386,3.1769,3.20921,3.2408,3.27164,3.30174,3.33108,3.35964,3.38743,3.41441,3.44058,3.46591,3.4904,3.51402,3.53675,3.55858,3.57948,3.59943,3.61841,3.63639,3.65336,3.66928,3.68413,3.69788,3.71052,3.72201,3.73233,3.74144,3.74933,3.75597,3.76132,3.76537],
[1.64872,1.71043,1.77096,1.83034,1.8886,1.94575,2.00184,2.05689,2.11092,2.16396,2.21604,2.26718,2.31741,2.36674,2.4152,2.46282,2.5096,2.55557,2.60075,2.64515,2.68878,2.73165,2.77379,2.81519,2.85586,2.89582,2.93506,2.9736,3.01143,3.04856,3.08498,3.12069,3.1557,3.18999,3.22356,3.25641,3.28852,3.31989,3.35051,3.38037,3.40945,3.43774,3.46522,3.49188,3.51771,3.54268,3.56677,3.58997,3.61225,3.6336,3.65399,3.6734,3.6918,3.70917,3.72548,3.74071,3.75484,3.76782,3.77965,3.79029,3.79971,3.80788,3.81479,3.82039,3.82467],
[1.67468,1.73715,1.79841,1.8585,1.91745,1.97529,2.03205,2.08776,2.14243,2.19611,2.24882,2.30058,2.35141,2.40135,2.45041,2.49862,2.54599,2.59255,2.6383,2.68328,2.72748,2.77093,2.81363,2.8556,2.89684,2.93736,2.97717,3.01627,3.05466,3.09234,3.12932,3.16559,3.20115,3.236,3.27012,3.30352,3.33618,3.3681,3.39926,3.42965,3.45927,3.48809,3.5161,3.54328,3.56963,3.59511,3.61971,3.64341,3.66619,3.68802,3.70888,3.72876,3.74761,3.76543,3.78218,3.79783,3.81237,3.82575,3.83796,3.84896,3.85873,3.86723,3.87445,3.88035,3.8849],
[1.70106,1.76423,1.82619,1.88696,1.94658,2.00507,2.06246,2.11879,2.17409,2.22837,2.28167,2.33402,2.38544,2.43596,2.4856,2.53437,2.58231,2.62943,2.67575,2.72129,2.76605,2.81006,2.85332,2.89585,2.93765,2.97874,3.01911,3.05877,3.09772,3.13597,3.17351,3.21034,3.24647,3.28188,3.31657,3.35053,3.38376,3.41624,3.44796,3.47892,3.50909,3.53847,3.56704,3.59478,3.62167,3.64769,3.67283,3.69707,3.72037,3.74273,3.76411,3.78449,3.80384,3.82215,3.83937,3.85549,3.87048,3.8843,3.89694,3.90835,3.91851,3.9274,3.93497,3.94121,3.94607],
[1.72785,1.7917,1.85431,1.91573,1.97597,2.03508,2.09308,2.15,2.20587,2.26073,2.3146,2.36751,2.41949,2.47056,2.52074,2.57007,2.61855,2.66622,2.71309,2.75917,2.80448,2.84904,2.89285,2.93593,2.97829,3.01993,3.06086,3.10108,3.1406,3.17942,3.21753,3.25494,3.29164,3.32762,3.36289,3.39744,3.43124,3.46431,3.49662,3.52816,3.55892,3.58888,3.61803,3.64635,3.67382,3.70042,3.72613,3.75094,3.77481,3.79772,3.81966,3.84058,3.86048,3.87931,3.89706,3.91369,3.92918,3.94349,3.95659,3.96846,3.97907,3.98838,3.99636,4.00298,4.00821],
[1.75505,1.81955,1.88279,1.94481,2.00564,2.06532,2.12389,2.18136,2.23778,2.29318,2.34759,2.40103,2.45353,2.50513,2.55584,2.60569,2.6547,2.70289,2.75029,2.7969,2.84275,2.88784,2.9322,2.97582,3.01873,3.06092,3.10241,3.1432,3.18328,3.22267,3.26136,3.29935,3.33664,3.37321,3.40908,3.44422,3.47862,3.51229,3.54521,3.57735,3.60872,3.6393,3.66906,3.69799,3.72607,3.75328,3.7796,3.80501,3.82949,3.853,3.87553,3.89705,3.91752,3.93693,3.95525,3.97243,3.98846,4.00331,4.01694,4.02931,4.04041,4.05019,4.05863,4.06569,4.07134],
[1.78269,1.84778,1.91161,1.97419,2.03558,2.0958,2.15489,2.21288,2.26982,2.32572,2.38063,2.43457,2.48757,2.53967,2.59087,2.64122,2.69074,2.73944,2.78734,2.83447,2.88083,2.92645,2.97134,3.0155,3.05895,3.1017,3.14374,3.18509,3.22575,3.26572,3.30499,3.34357,3.38145,3.41863,3.4551,3.49086,3.52588,3.56017,3.59372,3.6265,3.6585,3.68971,3.72011,3.74969,3.77841,3.80627,3.83324,3.85929,3.88441,3.90856,3.93172,3.95387,3.97497,3.995,4.01393,4.03172,4.04835,4.06377,4.07797,4.0909,4.10254,4.11285,4.12179,4.12934,4.13545],
[1.81077,1.87642,1.94078,2.00389,2.06578,2.1265,2.18608,2.24456,2.30196,2.35834,2.41371,2.46812,2.52159,2.57415,2.62583,2.67665,2.72665,2.77583,2.82422,2.87185,2.91872,2.96485,3.01026,3.05495,3.09894,3.14223,3.18484,3.22675,3.26798,3.30853,3.34839,3.38757,3.42606,3.46386,3.50095,3.53734,3.573,3.60794,3.64213,3.67557,3.70823,3.74011,3.77118,3.80143,3.83083,3.85937,3.88702,3.91375,3.93955,3.96439,3.98823,4.01105,4.03283,4.05352,4.07311,4.09155,4.10882,4.12488,4.1397,4.15324,4.16547,4.17636,4.18586,4.19394,4.20057],
[1.83928,1.90545,1.9703,2.03389,2.09626,2.15743,2.21745,2.27637,2.33421,2.39102,2.44683,2.50166,2.55557,2.60856,2.66069,2.71196,2.76241,2.81205,2.86092,2.90902,2.95639,3.00302,3.04894,3.09415,3.13867,3.18251,3.22566,3.26814,3.30995,3.35109,3.39155,3.43134,3.47045,3.50887,3.5466,3.58364,3.61996,3.65556,3.69043,3.72455,3.7579,3.79047,3.82225,3.8532,3.88332,3.91257,3.94094,3.96839,3.99492,4.02047,4.04504,4.06858,4.09108,4.11249,4.13278,4.15193,4.16989,4.18664,4.20213,4.21634,4.22921,4.24073,4.25084,4.25952,4.26672],
[1.86825,1.93488,2.00019,2.06421,2.12699,2.18858,2.249,2.30832,2.36655,2.42375,2.47995,2.53518,2.58949,2.64289,2.69542,2.74712,2.79799,2.84808,2.8974,2.94597,2.9938,3.04092,3.08734,3.13307,3.17812,3.22249,3.2662,3.30925,3.35163,3.39336,3.43443,3.47484,3.51458,3.55365,3.59203,3.62973,3.66673,3.70302,3.73859,3.77341,3.80749,3.84078,3.87329,3.90499,3.93585,3.96585,3.99498,4.0232,4.05048,4.07681,4.10214,4.12646,4.14972,4.17189,4.19295,4.21285,4.23156,4.24905,4.26527,4.28019,4.29377,4.30597,4.31676,4.32608,4.33391],
[1.89767,1.96472,2.03042,2.09483,2.15799,2.21993,2.28072,2.34038,2.39897,2.45652,2.51307,2.56866,2.62333,2.6771,2.73002,2.7821,2.83339,2.88389,2.93364,2.98265,3.03094,3.07854,3.12545,3.17168,3.21725,3.26216,3.30642,3.35003,3.393,3.43533,3.47701,3.51805,3.55843,3.59816,3.63722,3.6756,3.7133,3.7503,3.78659,3.82215,3.85697,3.89102,3.92429,3.95676,3.98841,4.01921,4.04913,4.07815,4.10624,4.13338,4.15953,4.18466,4.20874,4.23173,4.2536,4.27431,4.29382,4.3121,4.32911,4.34481,4.35915,4.3721,4.38361,4.39364,4.40216],
[1.92755,1.99497,2.06102,2.12576,2.18924,2.2515,2.31259,2.37255,2.43144,2.4893,2.54616,2.60207,2.65706,2.71118,2.76444,2.81689,2.86855,2.91945,2.9696,3.01904,3.06778,3.11584,3.16322,3.20995,3.25603,3.30148,3.34629,3.39047,3.43403,3.47696,3.51926,3.56094,3.60198,3.64237,3.68212,3.72121,3.75963,3.79736,3.8344,3.87072,3.90631,3.94116,3.97523,4.00851,4.04098,4.0726,4.10336,4.13323,4.16218,4.19017,4.21719,4.24318,4.26813,4.29199,4.31472,4.3363,4.35667,4.37581,4.39366,4.41019,4.42536,4.43911,4.45141,4.46222,4.47149],
[1.9579,2.02563,2.09198,2.15699,2.22073,2.28325,2.3446,2.40482,2.46396,2.52208,2.57921,2.63539,2.69068,2.74509,2.79867,2.85145,2.90346,2.95473,3.00527,3.05511,3.10428,3.15278,3.20063,3.24785,3.29444,3.34041,3.38577,3.43053,3.47467,3.51822,3.56115,3.60347,3.64518,3.68627,3.72672,3.76653,3.80569,3.84419,3.882,3.91911,3.95551,3.99117,4.02608,4.0602,4.09353,4.12603,4.15767,4.18843,4.21827,4.24717,4.2751,4.30201,4.32788,4.35266,4.37632,4.39882,4.42011,4.44016,4.45892,4.47635,4.4924,4.50703,4.52018,4.53182,4.5419],
[1.98874,2.05671,2.12329,2.18852,2.25247,2.31519,2.37673,2.43715,2.4965,2.55483,2.61218,2.6686,2.72413,2.77881,2.83267,2.88575,2.93808,2.98969,3.0406,3.09083,3.1404,3.18933,3.23764,3.28533,3.33243,3.37893,3.42484,3.47016,3.51491,3.55906,3.60264,3.64562,3.68802,3.7298,3.77098,3.81154,3.85146,3.89074,3.92935,3.96728,4.00452,4.04103,4.07681,4.11182,4.14604,4.17945,4.21202,4.24371,4.2745,4.30436,4.33325,4.36113,4.38798,4.41374,4.43838,4.46186,4.48414,4.50516,4.5249,4.54329,4.56029,4.57585,4.58993,4.60247,4.61343],
[2.02006,2.08822,2.15496,2.22035,2.28444,2.3473,2.40898,2.46954,2.52904,2.58753,2.64505,2.70166,2.75739,2.8123,2.86641,2.91975,2.97237,3.0243,3.07554,3.12614,3.1761,3.22545,3.27421,3.32237,3.36996,3.41698,3.46344,3.50934,3.55468,3.59947,3.64369,3.68735,3.73044,3.77295,3.81487,3.85619,3.8969,3.93698,3.97642,4.01521,4.05331,4.09071,4.12739,4.16332,4.19848,4.23285,4.26638,4.29906,4.33085,4.36171,4.39162,4.42053,4.4484,4.47521,4.50089,4.52542,4.54874,4.57081,4.59158,4.611,4.62902,4.64559,4.66066,4.67417,4.68608],
[2.05187,2.12014,2.18699,2.25246,2.31663,2.37956,2.44132,2.50197,2.56156,2.62015,2.67779,2.73454,2.79043,2.84552,2.89983,2.95342,3.0063,3.05851,3.11007,3.16101,3.21135,3.2611,3.31029,3.35892,3.407,3.45454,3.50155,3.54802,3.59397,3.63938,3.68427,3.72861,3.77241,3.81566,3.85834,3.90045,3.94197,3.98289,4.02319,4.06285,4.10185,4.14017,4.1778,4.21469,4.25083,4.28619,4.32074,4.35445,4.38728,4.41921,4.45019,4.48018,4.50915,4.53705,4.56384,4.58947,4.61391,4.63709,4.65896,4.67948,4.6986,4.71625,4.73238,4.74694,4.75987],
[2.08418,2.1525,2.21936,2.28485,2.34902,2.41196,2.47373,2.53439,2.59401,2.65265,2.71036,2.7672,2.82321,2.87843,2.93292,2.9867,3.03981,3.09228,3.14413,3.1954,3.24609,3.29624,3.34584,3.39492,3.44349,3.49155,3.5391,3.58616,3.63271,3.67877,3.72432,3.76936,3.81389,3.85789,3.90136,3.94428,3.98663,4.02841,4.0696,4.11017,4.15011,4.18939,4.22799,4.26589,4.30305,4.33946,4.37507,4.40985,4.44378,4.47682,4.50893,4.54006,4.57018,4.59924,4.62721,4.65402,4.67963,4.70399,4.72705,4.74875,4.76903,4.78784,4.80512,4.8208,4.83483],
[2.117,2.18528,2.25209,2.31751,2.38161,2.44448,2.50618,2.56679,2.62638,2.685,2.74273,2.7996,2.85567,2.911,2.96561,3.01955,3.07286,3.12556,3.17768,3.22925,3.28028,3.3308,3.38082,3.43034,3.47939,3.52796,3.57606,3.6237,3.67087,3.71758,3.76381,3.80957,3.85484,3.89961,3.94388,3.98763,4.03085,4.07352,4.11562,4.15713,4.19804,4.23832,4.27794,4.31688,4.35511,4.3926,4.42932,4.46524,4.50032,4.53452,4.56782,4.60015,4.63149,4.66178,4.69098,4.71904,4.7459,4.77152,4.79584,4.81879,4.84032,4.86036,4.87886,4.89575,4.91097],
[2.15034,2.21849,2.28516,2.35042,2.41437,2.47709,2.53865,2.59914,2.65862,2.71717,2.77484,2.83169,2.88778,2.94315,2.99786,3.05192,3.10539,3.1583,3.21066,3.26251,3.31387,3.36474,3.41516,3.46512,3.51464,3.56373,3.61238,3.66061,3.7084,3.75576,3.80269,3.84917,3.8952,3.94076,3.98586,4.03047,4.07457,4.11816,4.16121,4.2037,4.24561,4.28692,4.3276,4.36762,4.40696,4.44559,4.48347,4.52057,4.55686,4.59229,4.62682,4.66042,4.69304,4.72462,4.75513,4.78451,4.81271,4.83966,4.86531,4.8896,4.91246,4.93383,4.95364,4.97182,4.9883],
[2.1842,2.25213,2.31856,2.38358,2.44728,2.50976,2.5711,2.63139,2.6907,2.74909,2.80665,2.86343,2.91948,2.97486,3.0296,3.08376,3.13736,3.19044,3.24302,3.29513,3.34678,3.39801,3.44881,3.4992,3.5492,3.59879,3.648,3.69681,3.74524,3.79327,3.8409,3.88812,3.93493,3.98131,4.02725,4.07274,4.11776,4.16229,4.20632,4.24982,4.29277,4.33515,4.37693,4.41808,4.45858,4.49839,4.53748,4.57582,4.61337,4.65008,4.68592,4.72084,4.75481,4.78776,4.81965,4.85042,4.88002,4.90839,4.93546,4.96117,4.98545,5.00824,5.02945,5.04901,5.06686],
[2.2186,2.2862,2.35229,2.41696,2.48032,2.54247,2.6035,2.6635,2.72255,2.78073,2.83811,2.89475,2.95071,3.00604,3.06079,3.11499,3.16869,3.22191,3.27469,3.32703,3.37898,3.43053,3.48172,3.53253,3.58299,3.6331,3.68286,3.73227,3.78133,3.83004,3.87839,3.92637,3.97397,4.02118,4.068,4.11439,4.16035,4.20586,4.2509,4.29545,4.33948,4.38297,4.42589,4.46822,4.50992,4.55096,4.59132,4.63094,4.6698,4.70786,4.74507,4.78139,4.81677,4.85115,4.8845,4.91675,4.94783,4.9777,5.00628,5.0335,5.0593,5.08359,5.1063,5.12734,5.14665],
[2.25353,2.3207,2.38633,2.45054,2.51346,2.57517,2.6358,2.69542,2.75414,2.81203,2.86916,2.9256,2.98142,3.03665,3.09135,3.14557,3.19933,3.25266,3.3056,3.35817,3.41038,3.46226,3.51381,3.56504,3.61597,3.66659,3.71691,3.76692,3.81663,3.86602,3.9151,3.96386,4.01227,4.06034,4.10805,4.15538,4.20231,4.24883,4.29491,4.34054,4.38568,4.43032,4.47443,4.51798,4.56093,4.60326,4.64492,4.68589,4.72613,4.76559,4.80424,4.84201,4.87888,4.91478,4.94965,4.98345,5.01611,5.04757,5.07775,5.10658,5.13398,5.15988,5.18419,5.20683,5.2277],
[2.28902,2.35562,2.42067,2.48431,2.54665,2.60783,2.66794,2.7271,2.7854,2.84291,2.89973,2.95591,3.01152,3.0666,3.12122,3.1754,3.22919,3.28261,3.3357,3.38846,3.44093,3.49311,3.54503,3.59667,3.64806,3.69919,3.75007,3.80069,3.85106,3.90116,3.95098,4.00053,4.04978,4.09872,4.14735,4.19564,4.24357,4.29113,4.33829,4.38503,4.43133,4.47717,4.5225,4.56731,4.61156,4.65523,4.69826,4.74063,4.78231,4.82323,4.86338,4.90268,4.9411,4.97859,5.01508,5.05052,5.08484,5.11797,5.14985,5.18039,5.20951,5.23712,5.26314,5.28747,5.31002],
[2.32507,2.39096,2.45529,2.51822,2.57987,2.64039,2.69988,2.75847,2.81625,2.87332,2.92974,2.98559,3.04094,3.09583,3.15031,3.20443,3.25821,3.31169,3.3649,3.41784,3.47055,3.52303,3.57529,3.62735,3.6792,3.73084,3.78229,3.83353,3.88456,3.93537,3.98596,4.03632,4.08642,4.13627,4.18584,4.23512,4.28408,4.33271,4.38099,4.42888,4.47638,4.52345,4.57005,4.61617,4.66178,4.70682,4.75128,4.79511,4.83828,4.88074,4.92245,4.96335,5.00341,5.04255,5.08074,5.1179,5.15397,5.18888,5.22256,5.25491,5.28585,5.3153,5.34315,5.3693,5.39364],
[2.36168,2.42671,2.49017,2.55224,2.61306,2.67279,2.73155,2.78946,2.84664,2.90316,2.95911,3.01457,3.0696,3.12424,3.17855,3.23256,3.28631,3.33982,3.39312,3.44623,3.49916,3.55193,3.60454,3.657,3.70931,3.76147,3.81349,3.86536,3.91707,3.96861,4.01998,4.07116,4.12215,4.17292,4.22346,4.27375,4.32378,4.37351,4.42294,4.47203,4.52076,4.5691,4.61703,4.66451,4.71151,4.758,4.80393,4.84928,4.89401,4.93806,4.9814,5.02397,5.06574,5.10663,5.14659,5.18557,5.22348,5.26027,5.29584,5.33012,5.36301,5.39441,5.42421,5.45231,5.47858],
[2.39888,2.46286,2.52528,2.58632,2.64616,2.70496,2.76286,2.81999,2.87645,2.93235,2.98776,3.04276,3.0974,3.15175,3.20584,3.25971,3.31339,3.36691,3.42028,3.47354,3.52668,3.57973,3.63268,3.68554,3.73832,3.79101,3.84361,3.89611,3.94851,4.0008,4.05297,4.105,4.15688,4.2086,4.26014,4.31148,4.3626,4.41348,4.46409,4.51441,4.56442,4.61408,4.66337,4.71226,4.76071,4.80869,4.85616,4.90309,4.94943,4.99514,5.04018,5.0845,5.12805,5.17076,5.21259,5.25347,5.29333,5.33209,5.36968,5.40599,5.44095,5.47443,5.50632,5.53651,5.56486],
[2.43665,2.49939,2.56058,2.62041,2.6791,2.73682,2.79373,2.84995,2.9056,2.96078,3.01557,3.07004,3.12425,3.17825,3.23208,3.28578,3.33936,3.39286,3.4463,3.49968,3.55303,3.60635,3.65964,3.71291,3.76615,3.81937,3.87256,3.92571,3.97881,4.03187,4.08485,4.13775,4.19056,4.24326,4.29583,4.34824,4.40049,4.45254,4.50438,4.55597,4.60729,4.65832,4.70902,4.75936,4.80932,4.85884,4.90791,4.95647,5.00449,5.05193,5.09874,5.14487,5.19028,5.2349,5.27868,5.32156,5.36346,5.4043,5.44401,5.4825,5.51965,5.55535,5.58949,5.62191,5.65249],
[2.47502,2.53629,2.59601,2.65443,2.71179,2.76826,2.82403,2.87923,2.93396,2.98834,3.04244,3.09632,3.15004,3.20365,3.25718,3.31067,3.36413,3.41759,3.47107,3.52458,3.57812,3.6317,3.68533,3.73901,3.79272,3.84648,3.90026,3.95408,4.00791,4.06174,4.11556,4.16936,4.22311,4.27681,4.33044,4.38396,4.43737,4.49063,4.54373,4.59664,4.64932,4.70176,4.75392,4.80576,4.85727,4.9084,4.95911,5.00937,5.05913,5.10836,5.15701,5.20503,5.25238,5.29899,5.34481,5.38977,5.43381,5.47685,5.5188,5.55958,5.59907,5.63715,5.67368,5.70852,5.7415],
[2.514,2.57352,2.63151,2.68829,2.7441,2.79917,2.85365,2.9077,2.96142,3.01491,3.06824,3.12147,3.17465,3.22782,3.28102,3.33427,3.38759,3.441,3.4945,3.54812,3.60185,3.6557,3.70967,3.76375,3.81795,3.87225,3.92665,3.98114,4.0357,4.09033,4.14501,4.19973,4.25446,4.30919,4.3639,4.41857,4.47317,4.52769,4.58209,4.63634,4.69043,4.74433,4.79799,4.85139,4.9045,4.95728,5.0097,5.06172,5.11329,5.16438,5.21493,5.26492,5.31428,5.36295,5.4109,5.45804,5.50433,5.54967,5.59399,5.63718,5.67916,5.71977,5.75889,5.79633,5.83192],
[2.55359,2.61102,2.66699,2.72186,2.77591,2.82937,2.88243,2.93521,2.98781,3.04033,3.09283,3.14535,3.19795,3.25065,3.30349,3.35648,3.40963,3.46297,3.5165,3.57022,3.62413,3.67825,3.73256,3.78705,3.84174,3.8966,3.95162,4.0068,4.06213,4.11758,4.17314,4.2288,4.28453,4.34033,4.39615,4.452,4.50783,4.56363,4.61937,4.67502,4.73056,4.78595,4.84117,4.89618,4.95095,5.00544,5.05962,5.11345,5.16689,5.2199,5.27244,5.32446,5.3759,5.42673,5.47689,5.52631,5.57493,5.62269,5.66949,5.71525,5.75985,5.80318,5.84507,5.88534,5.92376],
[2.5938,2.64873,2.7023,2.75496,2.80702,2.8587,2.91018,2.96158,3.01298,3.06446,3.11606,3.16783,3.21981,3.27201,3.32446,3.37717,3.43015,3.4834,3.53694,3.59076,3.64486,3.69924,3.7539,3.80882,3.864,3.91943,3.9751,4.03099,4.08709,4.14338,4.19985,4.25648,4.31325,4.37013,4.42711,4.48416,4.54127,4.59839,4.65551,4.7126,4.76963,4.82657,4.88339,4.94006,4.99654,5.0528,5.1088,5.16451,5.21988,5.27487,5.32946,5.38358,5.43719,5.49025,5.5427,5.59448,5.64555,5.69582,5.74522,5.79367,5.84107,5.88729,5.93217,5.97551,6.01704],
[2.63465,2.68652,2.73725,2.78737,2.83719,2.88693,2.9367,2.98662,3.03674,3.08711,3.13778,3.18876,3.24008,3.29176,3.3438,3.39622,3.44901,3.50218,3.55572,3.60965,3.66394,3.71859,3.7736,3.82896,3.88465,3.94067,3.99699,4.05361,4.11051,4.16767,4.22507,4.28269,4.34052,4.39853,4.45669,4.51499,4.5734,4.63189,4.69044,4.74901,4.80758,4.86611,4.92458,4.98296,5.0412,5.09928,5.15716,5.2148,5.27217,5.32922,5.38591,5.4422,5.49805,5.55342,5.60824,5.66248,5.71607,5.76896,5.82108,5.87236,5.9227,5.97199,6.0201,6.0668,6.1118],
[2.67614,2.72414,2.77151,2.81876,2.86614,2.91377,2.96175,3.01011,3.05889,3.10812,3.15781,3.20798,3.25863,3.30976,3.36139,3.4135,3.4661,3.51918,3.57274,3.62676,3.68125,3.73619,3.79156,3.84737,3.90359,3.96021,4.01721,4.07458,4.1323,4.19035,4.24871,4.30736,4.36628,4.42544,4.48482,4.54441,4.60416,4.66405,4.72406,4.78416,4.84431,4.90449,4.96467,5.0248,5.08486,5.14482,5.20463,5.26427,5.32369,5.38285,5.44172,5.50025,5.55841,5.61615,5.67343,5.7302,5.78641,5.84201,5.89695,5.95116,6.00458,6.05713,6.10869,6.1591,6.20804],
[2.71828,2.76109,2.80456,2.84869,2.89348,2.93893,2.98504,3.0318,3.07922,3.12727,3.17598,3.22531,3.27528,3.32587,3.37707,3.42888,3.48129,3.53429,3.58786,3.642,3.69669,3.75192,3.80768,3.86395,3.92071,3.97795,4.03565,4.09379,4.15236,4.21132,4.27067,4.33038,4.39042,4.45078,4.51142,4.57232,4.63345,4.6948,4.75631,4.81798,4.87977,4.94164,5.00356,5.06551,5.12744,5.18933,5.25114,5.31282,5.37436,5.4357,5.49681,5.55765,5.61818,5.67837,5.73817,5.79755,5.85645,5.91484,5.97269,6.02993,6.08655,6.14248,6.1977,6.25216,6.30581]
]


ax1.scatter3D(xd,yd,zd)#cmap='Blues')  #绘制散点图
#ax1.plot3D(x,y,z,'gray')    #绘制空间曲线
ax1.set_xlabel('X', color='b')
ax1.set_ylabel('Y', color='g')
ax1.set_zlabel('Z', color='r')
plt.draw()
plt.savefig('64.png')
plt.show()
